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四方晶系，也叫正方晶系，它具有一个4次对称轴，该轴是晶体的直立对称轴C轴，另外两个水平对称轴和C轴相互垂直相交。轴角α=β=γ=90°，轴单位a=b≠c。
| 四方晶系 | 简单四方 | 体心四方 |
|---|---|---|
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| # | 点群 | 例 | 空间群 | |||||
|---|---|---|---|---|---|---|---|---|
| 名称 | 国际标记法 | 熊夫利标记法[1] | 轨形 | 考克斯特符号 | 简单四方 |
体心四方 | ||
| 75–80 | 正方锥面晶族(Tetragonal pyramidal) | 4 | C4 | 44 | [4]+ | 柱硼镁石, 绿铜钾石 | P4, P41, P42, P43 | I4, I41 |
| 81–82 | 正方双楔面晶族 (Tetragonal disphenoidal) |
4 | S4 | 2× | [2+,4+] | 水砷硼钙石,铍方钠石 | P4 | I4 |
| 83–88 | 正方双锥面晶族(Tetragonal dipyramidal) | 4/m | C4h | 4* | [2,4+] | 白钨矿、钼铅矿、白榴石 | P4/m, P42/m, P4/n, P42/n | I4/m, I41/a |
| 89–98 | 正方偏方面晶族(Tetragonal trapezohedral) | 422 | D4 | 224 | [2,4]+ | 方硅石、水磷铝钠石 | P422, P4212, P4122, P41212, P4222, P42212, P4322, P43212 | I422, I4122 |
| 99–110 | 复正方双锥晶族(Ditetragonal pyramidal) | 4mm | C4v | *44 | [4] | 水氯铅铜石 | P4mm, P4bm, P42cm, P42nm, P4cc, P4nc, P42mc, P42bc | I4mm, I4cm, I41md, I41cd |
| 111–122 | 正方偏三角面晶族(Tetragonal scalenohedral) | 42m | D2d | 2*2 | [2+,4] | 黄铜矿、黄锡矿 | P42m, P42c, P421m, P421c, P4m2, P4c2, P4b2, P4n2 | I4m2, I4c2, I42m, I42d |
| 123–142 | 复正方双锥晶族(Ditetragonal dipyramidal) | 4/mmm | D4h | *224 | [2,4] | 金红石、锆石 | P4/mmm, P4/mcc, P4/nbm, P4/nnc, P4/mbm, P4/mnc, P4/nmm, P4/ncc, P42/mmc, P42/mcm, P42/nbc, P42/nnm, P42/mbc, P42/mnm, P42/nmc, P42/ncm |
I4/mmm, I4/mcm, I41/amd, I41/acd |
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